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Finding the Fourth Proportional to 4,707.86, 7,060.82 and 4,473.68

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Solution

The fourth proportional to 4,707.86, 7,060.82 and 4,473.68 is: 6,709.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.86 : 7,060.82 = 4,473.68 : x
  2. Step 2: Convert to fraction form
    4,707.86/7,060.82 = 4,473.68/x
  3. Step 3: Cross multiply
    4,707.86x = 7,060.82 × 4,473.68
  4. Step 4: Simplify right side
    4,707.86x = 31,587,791.55
  5. Step 5: Solve for x
    x = 31,587,791.55/4,707.86
  6. Step 6: Final answer
    x = 6,709.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.